Here is the full list of all 32 Space Otter Charlie trophies - there are 12 bronze, 14 silver, 5 gold and 1 platinum.
Collect all the trophies.
Arm yourself!
Turn on the lights aboard H.M.S. Tomcat.
Defeat A.R.E.S.
Reflect your way to freedom.
Borrow some ship parts from Valencia Station.
Escape fiery death on Pallas Station.
Spin to win in Tornado Labs.
Are you sure you want to pull that lever?
Reunite with an old friend.
Make a friend! Recruit a marine buddy to help the cause.
Make some friends aboard the R.A.F.T.
Make all the friends aboard the R.A.F.T.
Unlock all the levels on the galaxy map.
Upgrade one of your weapons.
Upgrade the Lazor, Reflector and Missile Launcher.
Upgrade your suit with a total of 4 thrust or shield upgrades.
Build a custom space suit.
Build 5 custom space suits.
Complete 2 full data log entries.
Otters are awesome! Learn the facts.
It happens to everyone - death by crushing.
Discover 10 hidden areas.
Collect 80 space crystals.
Investigate project 1138 in Erebus Labs.
Take your anger out on 200 boulders.
Impress your friends making trickshots with the Reflector.
Destroy 30 enemies without using a gun.
Destroy 3 Pixel Cat spawners.
Start a new single player game after having finished the game.
Finish 15 matches of "So Urchin!" multiplayer mode.
Finish 10 matches of "Furry Fury" multiplayer mode.